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The probability density function for the beta distribution is

[math]\varphi(x;a,b) = \frac{\Gamma(a+b)}{\Gamma(a)\Gamma(b)}x^{a-1}(1-x)^{b-1}[/math]

where [math]a[/math] and [math]b[/math] are the parameters of the distribution and [math]\Gamma(z)[/math] is the gamma function.

See also

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